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Question

When 2 mole of C2H4 is completely burnt then 2648 kJ heat is liberated and ΔHc of Cis394kJ and ΔHf of C2H4is52KJ
Calculate ΔHc for hydrogen.

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Solution

Given:-
2C2H4(g)+6O2(g)4CO2(g)+4H2O(l)ΔH=2648kJ
12×[2C2H4(g)+6O2(g)4CO2(g)+4H2O(l)ΔH=2648kJ]
C2H4(g)+3O2(g)2CO2(g)+2H2O(l)ΔH=1324.....(1)
C(s)+O2(g)CO2(g)ΔH=394kJ
CO2(g)C(s)+O2(g)ΔH=394kJ
2×[CO2(g)C(s)+O2(g)ΔH=394kJ]
2CO2(g)2C(s)+2O2(g)ΔH=788kJ.....(2)
2C(s)+2H2(g)C2H4(g)ΔH=52kJ.....(3)
Adding equation (1),(2)&(3), we have
2H2(g)+O2(g)2H2O(l)ΔH=588kJ
12×[2H2(g)+O2(g)2H2O(l)ΔH=588kJ]
H2(g)+12O2(g)H2O(l)ΔH=294kJ
Hence the value of ΔHc for hudrogen is 294kJ.

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